Here is one way to solve
this problem.
You need to begin by making sure that you fully
understand the problem and what it is you need to
do. Begin by putting the problem into your own
words so that you understand the problem. You know there
is a bag of marbles that contains 500 marbles of
3 colors. You also know that 20 marbles were drawn
from the bag and from the 20 marbles there were 4
red, 10 blue, and 6 yellow marbles.
The question asks you to predict the number of
each color of marbles in the sack. Since you know the
numbers of colors if you were to draw out 20 marbles,
you can predict if you pulled out all 500 marbles.
If you were to pull out all 500, 20 marbles at a
time, you would pull out 25 sets of 20 marbles.
If you were to pull out 25 sets of 20 marbles you
might predict that each set of 20 marbles would be
the same. Therefore, you can multiply each of the
colors in the one set of 20 marbles by 25 since there
will 25 groups of 20 marbles.
- 4 red marbles x 25 = 100 red marbles
- 10 blue marbles x 25 = 250 blue marbles
- 6 yellow marbles x 25 = 150 yellow marbles
Based upon the sample of 20 marbles, the 500 marbles
in the sack most likely would be as you found above.
The answer to this problem is letter B:
- 100
red marbles
- 250 blue marbles
- 150 yellow marbles
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